Let ax) : 2:172 + 23: 10. Answer the following questions. 1. Find the average slope of the function f on the interval [71,1]. Average Slope: m = [j 2. Verify the Mean Value Theorem by finding a number a in (1, 1) such that f'(c) : . Answer: C : [j Consider the function an) : 23:3 9:132 108:1: l 2 on the interval [6, 9]. Find the average or mean slope of the function on this interval. D By the Mean Value Theorem, we know there exists at least one c in the open interval (6, 9) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. If there are no values of c that work, enter None. List of numbers: [3 Consider the function f(m) = i on the interval [3,10]. (A) Find the average or mean slope of the function on this interval. Average Slope = D (B) By the Mean Value Theorem, we know there exists a c in the open interval (3,10) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values: [3